TSTP Solution File: SEU027+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:22:10 EDT 2023
% Result : Theorem 0.81s 0.85s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 40
% Syntax : Number of formulae : 80 ( 10 unt; 35 typ; 0 def)
% Number of atoms : 370 ( 117 equ)
% Maximal formula atoms : 130 ( 8 avg)
% Number of connectives : 557 ( 232 ~; 245 |; 56 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 37 ( 24 >; 13 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 11 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn; 37 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
in: ( $i * $i ) > $o ).
tff(decl_23,type,
empty: $i > $o ).
tff(decl_24,type,
function: $i > $o ).
tff(decl_25,type,
relation: $i > $o ).
tff(decl_26,type,
one_to_one: $i > $o ).
tff(decl_27,type,
relation_rng: $i > $i ).
tff(decl_28,type,
relation_dom: $i > $i ).
tff(decl_29,type,
apply: ( $i * $i ) > $i ).
tff(decl_30,type,
function_inverse: $i > $i ).
tff(decl_31,type,
element: ( $i * $i ) > $o ).
tff(decl_32,type,
empty_set: $i ).
tff(decl_33,type,
relation_empty_yielding: $i > $o ).
tff(decl_34,type,
powerset: $i > $i ).
tff(decl_35,type,
subset: ( $i * $i ) > $o ).
tff(decl_36,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_38,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk4_1: $i > $i ).
tff(decl_40,type,
esk5_0: $i ).
tff(decl_41,type,
esk6_0: $i ).
tff(decl_42,type,
esk7_1: $i > $i ).
tff(decl_43,type,
esk8_0: $i ).
tff(decl_44,type,
esk9_0: $i ).
tff(decl_45,type,
esk10_0: $i ).
tff(decl_46,type,
esk11_1: $i > $i ).
tff(decl_47,type,
esk12_0: $i ).
tff(decl_48,type,
esk13_0: $i ).
tff(decl_49,type,
esk14_0: $i ).
tff(decl_50,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk19_0: $i ).
tff(decl_55,type,
esk20_0: $i ).
tff(decl_56,type,
esk21_2: ( $i * $i ) > $i ).
fof(t60_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X1)
& relation_dom(X1) = relation_rng(X2)
& relation_rng(X1) = relation_dom(X2)
& ! [X3,X4] :
( ( in(X3,relation_dom(X1))
& in(X4,relation_dom(X2)) )
=> ( apply(X1,X3) = X4
<=> apply(X2,X4) = X3 ) ) )
=> X2 = function_inverse(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_funct_1) ).
fof(d5_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(t54_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( X2 = function_inverse(X1)
<=> ( relation_dom(X2) = relation_rng(X1)
& ! [X3,X4] :
( ( ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) )
=> ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) ) )
& ( ( in(X4,relation_dom(X1))
& X3 = apply(X1,X4) )
=> ( in(X3,relation_rng(X1))
& X4 = apply(X2,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
fof(dt_k2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(function_inverse(X1))
& function(function_inverse(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(t9_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( relation_dom(X1) = relation_dom(X2)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_funct_1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( one_to_one(X1)
& relation_dom(X1) = relation_rng(X2)
& relation_rng(X1) = relation_dom(X2)
& ! [X3,X4] :
( ( in(X3,relation_dom(X1))
& in(X4,relation_dom(X2)) )
=> ( apply(X1,X3) = X4
<=> apply(X2,X4) = X3 ) ) )
=> X2 = function_inverse(X1) ) ) ),
inference(assume_negation,[status(cth)],[t60_funct_1]) ).
fof(c_0_6,negated_conjecture,
! [X65,X66] :
( relation(esk19_0)
& function(esk19_0)
& relation(esk20_0)
& function(esk20_0)
& one_to_one(esk19_0)
& relation_dom(esk19_0) = relation_rng(esk20_0)
& relation_rng(esk19_0) = relation_dom(esk20_0)
& ( apply(esk19_0,X65) != X66
| apply(esk20_0,X66) = X65
| ~ in(X65,relation_dom(esk19_0))
| ~ in(X66,relation_dom(esk20_0)) )
& ( apply(esk20_0,X66) != X65
| apply(esk19_0,X65) = X66
| ~ in(X65,relation_dom(esk19_0))
| ~ in(X66,relation_dom(esk20_0)) )
& esk20_0 != function_inverse(esk19_0) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_7,plain,
! [X10,X11,X12,X14,X15,X16,X18] :
( ( in(esk1_3(X10,X11,X12),relation_dom(X10))
| ~ in(X12,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( X12 = apply(X10,esk1_3(X10,X11,X12))
| ~ in(X12,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( ~ in(X15,relation_dom(X10))
| X14 != apply(X10,X15)
| in(X14,X11)
| X11 != relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( ~ in(esk2_2(X10,X16),X16)
| ~ in(X18,relation_dom(X10))
| esk2_2(X10,X16) != apply(X10,X18)
| X16 = relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( in(esk3_2(X10,X16),relation_dom(X10))
| in(esk2_2(X10,X16),X16)
| X16 = relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) )
& ( esk2_2(X10,X16) = apply(X10,esk3_2(X10,X16))
| in(esk2_2(X10,X16),X16)
| X16 = relation_rng(X10)
| ~ relation(X10)
| ~ function(X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_funct_1])])])])])]) ).
cnf(c_0_8,negated_conjecture,
( apply(esk20_0,X2) = X1
| apply(esk19_0,X1) != X2
| ~ in(X1,relation_dom(esk19_0))
| ~ in(X2,relation_dom(esk20_0)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( X1 = apply(X2,esk1_3(X2,X3,X1))
| ~ in(X1,X3)
| X3 != relation_rng(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( in(esk1_3(X1,X2,X3),relation_dom(X1))
| ~ in(X3,X2)
| X2 != relation_rng(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X50,X51,X52,X53,X54,X55] :
( ( relation_dom(X51) = relation_rng(X50)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(X53,relation_dom(X50))
| ~ in(X52,relation_rng(X50))
| X53 != apply(X51,X52)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( X52 = apply(X50,X53)
| ~ in(X52,relation_rng(X50))
| X53 != apply(X51,X52)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(X54,relation_rng(X50))
| ~ in(X55,relation_dom(X50))
| X54 != apply(X50,X55)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( X55 = apply(X51,X54)
| ~ in(X55,relation_dom(X50))
| X54 != apply(X50,X55)
| X51 != function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(esk18_2(X50,X51),relation_dom(X50))
| in(esk15_2(X50,X51),relation_rng(X50))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( esk17_2(X50,X51) = apply(X50,esk18_2(X50,X51))
| in(esk15_2(X50,X51),relation_rng(X50))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( ~ in(esk17_2(X50,X51),relation_rng(X50))
| esk18_2(X50,X51) != apply(X51,esk17_2(X50,X51))
| in(esk15_2(X50,X51),relation_rng(X50))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(esk18_2(X50,X51),relation_dom(X50))
| esk16_2(X50,X51) = apply(X51,esk15_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( esk17_2(X50,X51) = apply(X50,esk18_2(X50,X51))
| esk16_2(X50,X51) = apply(X51,esk15_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( ~ in(esk17_2(X50,X51),relation_rng(X50))
| esk18_2(X50,X51) != apply(X51,esk17_2(X50,X51))
| esk16_2(X50,X51) = apply(X51,esk15_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( in(esk18_2(X50,X51),relation_dom(X50))
| ~ in(esk16_2(X50,X51),relation_dom(X50))
| esk15_2(X50,X51) != apply(X50,esk16_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( esk17_2(X50,X51) = apply(X50,esk18_2(X50,X51))
| ~ in(esk16_2(X50,X51),relation_dom(X50))
| esk15_2(X50,X51) != apply(X50,esk16_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) )
& ( ~ in(esk17_2(X50,X51),relation_rng(X50))
| esk18_2(X50,X51) != apply(X51,esk17_2(X50,X51))
| ~ in(esk16_2(X50,X51),relation_dom(X50))
| esk15_2(X50,X51) != apply(X50,esk16_2(X50,X51))
| relation_dom(X51) != relation_rng(X50)
| X51 = function_inverse(X50)
| ~ relation(X51)
| ~ function(X51)
| ~ one_to_one(X50)
| ~ relation(X50)
| ~ function(X50) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_funct_1])])])])])]) ).
fof(c_0_12,plain,
! [X20] :
( ( relation(function_inverse(X20))
| ~ relation(X20)
| ~ function(X20) )
& ( function(function_inverse(X20))
| ~ relation(X20)
| ~ function(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_1])])]) ).
fof(c_0_13,plain,
! [X72,X73] :
( ( in(esk21_2(X72,X73),relation_dom(X72))
| relation_dom(X72) != relation_dom(X73)
| X72 = X73
| ~ relation(X73)
| ~ function(X73)
| ~ relation(X72)
| ~ function(X72) )
& ( apply(X72,esk21_2(X72,X73)) != apply(X73,esk21_2(X72,X73))
| relation_dom(X72) != relation_dom(X73)
| X72 = X73
| ~ relation(X73)
| ~ function(X73)
| ~ relation(X72)
| ~ function(X72) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_funct_1])])])])]) ).
cnf(c_0_14,negated_conjecture,
( apply(esk20_0,apply(esk19_0,X1)) = X1
| ~ in(apply(esk19_0,X1),relation_dom(esk20_0))
| ~ in(X1,relation_dom(esk19_0)) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( apply(X1,esk1_3(X1,relation_rng(X1),X2)) = X2
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
relation_rng(esk19_0) = relation_dom(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
relation(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
function(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( in(esk1_3(X1,relation_rng(X1),X2),relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_rng(X1)) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( X1 = apply(X2,X3)
| ~ in(X1,relation_dom(X4))
| X3 != apply(X4,X1)
| X2 != function_inverse(X4)
| ~ relation(X2)
| ~ function(X2)
| ~ one_to_one(X4)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( function(function_inverse(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( relation(function_inverse(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,plain,
( X1 = X2
| apply(X1,esk21_2(X1,X2)) != apply(X2,esk21_2(X1,X2))
| relation_dom(X1) != relation_dom(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( apply(esk20_0,X1) = esk1_3(esk19_0,relation_dom(esk20_0),X1)
| ~ in(esk1_3(esk19_0,relation_dom(esk20_0),X1),relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_16]),c_0_17]),c_0_18]),c_0_16])]) ).
cnf(c_0_25,negated_conjecture,
relation(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
function(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
( in(esk1_3(esk19_0,relation_dom(esk20_0),X1),relation_dom(esk19_0))
| ~ in(X1,relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_28,plain,
( apply(function_inverse(X1),apply(X1,X2)) = X2
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X2,relation_dom(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])]),c_0_21]),c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( apply(esk19_0,esk1_3(esk19_0,relation_dom(esk20_0),X1)) = X1
| ~ in(X1,relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
cnf(c_0_30,negated_conjecture,
one_to_one(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,plain,
( in(esk21_2(X1,X2),relation_dom(X1))
| X1 = X2
| relation_dom(X1) != relation_dom(X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_32,plain,
( relation_dom(X1) = relation_rng(X2)
| X1 != function_inverse(X2)
| ~ relation(X1)
| ~ function(X1)
| ~ one_to_one(X2)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
( X1 = esk20_0
| apply(X1,esk21_2(X1,esk20_0)) != esk1_3(esk19_0,relation_dom(esk20_0),esk21_2(X1,esk20_0))
| relation_dom(X1) != relation_dom(esk20_0)
| ~ relation(X1)
| ~ function(X1)
| ~ in(esk21_2(X1,esk20_0),relation_dom(esk20_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( apply(function_inverse(esk19_0),X1) = esk1_3(esk19_0,relation_dom(esk20_0),X1)
| ~ in(X1,relation_dom(esk20_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_17]),c_0_18])]),c_0_27]) ).
cnf(c_0_35,negated_conjecture,
esk20_0 != function_inverse(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_36,negated_conjecture,
( X1 = esk20_0
| in(esk21_2(X1,esk20_0),relation_dom(X1))
| relation_dom(X1) != relation_dom(esk20_0)
| ~ relation(X1)
| ~ function(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_26])]) ).
cnf(c_0_37,plain,
( relation_dom(function_inverse(X1)) = relation_rng(X1)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_32]),c_0_21]),c_0_22]) ).
cnf(c_0_38,negated_conjecture,
( relation_dom(function_inverse(esk19_0)) != relation_dom(esk20_0)
| ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0))
| ~ in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( function_inverse(X1) = esk20_0
| in(esk21_2(function_inverse(X1),esk20_0),relation_rng(X1))
| relation_rng(X1) != relation_dom(esk20_0)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21]),c_0_22]) ).
cnf(c_0_40,negated_conjecture,
( ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0))
| ~ in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_16]),c_0_30]),c_0_17]),c_0_18])]) ).
cnf(c_0_41,negated_conjecture,
in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_16]),c_0_30]),c_0_17]),c_0_18])]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( ~ relation(function_inverse(esk19_0))
| ~ function(function_inverse(esk19_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_43,negated_conjecture,
~ relation(function_inverse(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_21]),c_0_17]),c_0_18])]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_22]),c_0_17]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 01:43:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.81/0.85 % Version : CSE_E---1.5
% 0.81/0.85 % Problem : theBenchmark.p
% 0.81/0.85 % Proof found
% 0.81/0.85 % SZS status Theorem for theBenchmark.p
% 0.81/0.85 % SZS output start Proof
% See solution above
% 0.81/0.85 % Total time : 0.243000 s
% 0.81/0.85 % SZS output end Proof
% 0.81/0.85 % Total time : 0.247000 s
%------------------------------------------------------------------------------